648377400 has 192 divisors, whose sum is σ = 2264140800. Its totient is φ = 152064000.

The previous prime is 648377393. The next prime is 648377407. The reversal of 648377400 is 4773846.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (648377393) and next prime (648377407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648377407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203016 + ... + 206184.

It is an arithmetic number, because the mean of its divisors is an integer number (11792400).

Almost surely, 2^648377400 is an apocalyptic number.

648377400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132070400).

648377400 is an abundant number, since it is smaller than the sum of its proper divisors (1615763400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

648377400 is a wasteful number, since it uses less digits than its factorization.

648377400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 648377400 is about 25463.2558797967. The cubic root of 648377400 is about 865.5177049477.

The spelling of 648377400 in words is "six hundred forty-eight million, three hundred seventy-seven thousand, four hundred".